document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014810>Question 1014810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. what amount of each coffee should be blended to obtain the desired mixture? (hint: Assume that the total weight of the desired blend is 100 pounds) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631131 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of $2.75/ lb coffee needed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of $5.00/ lb coffee needed<BR>\n" );
document.write( "Assume total of 100 pounds of blend<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2.75a+%2B+5b+%29+%2F+100+=+3.9+ ALIGN=MIDDLE  ALT=\"+%28+2.75a+%2B+5b+%29+%2F+100+=+3.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.75a+%2B+5b+=+390+ ALIGN=MIDDLE  ALT=\"+2.75a+%2B+5b+=+390+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+275a+%2B+500b+=+39000+ ALIGN=MIDDLE  ALT=\"+275a+%2B+500b+=+39000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11a+%2B+20b+=+1560+ ALIGN=MIDDLE  ALT=\"+11a+%2B+20b+=+1560+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+ ALIGN=MIDDLE  ALT=\"+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11a+%2B+20b+=+1560+ ALIGN=MIDDLE  ALT=\"+11a+%2B+20b+=+1560+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-11a+-+11b+=+-1100+ ALIGN=MIDDLE  ALT=\"+-11a+-+11b+=+-1100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9b+=+460+ ALIGN=MIDDLE  ALT=\"+9b+=+460+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+51.11+ ALIGN=MIDDLE  ALT=\"+b+=+51.11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+48.89+ ALIGN=MIDDLE  ALT=\"+a+=+48.89+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "48.89 pounds of $2.75/ lb coffee are needed<BR>\n" );
document.write( "51.11 pounds of $5.00/ lb coffee are needed<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2.75a+%2B+5b+%29+%2F+100+=+3.9+ ALIGN=MIDDLE  ALT=\"+%28+2.75a+%2B+5b+%29+%2F+100+=+3.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2.75%2A48.89+%2B+5%2A51.11+%29+%2F+100+=+3.9+ ALIGN=MIDDLE  ALT=\"+%28+2.75%2A48.89+%2B+5%2A51.11+%29+%2F+100+=+3.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+134.45+%2B+255.55+%29+%2F+100+=+3.9+ ALIGN=MIDDLE  ALT=\"+%28+134.45+%2B+255.55+%29+%2F+100+=+3.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+390+=+390+ ALIGN=MIDDLE  ALT=\"+390+=+390+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );